Two-Point Boundary Value Problems for Essentially Singular Second-Order Linear Differential Equations


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Abstract

We establish tests for the unique solvability of two-point boundary value problems for second-order linear ordinary differential equations whose coefficients have singularities of arbitrary order at the endpoints of the interval. The tests are, in a sense, sharp.

About the authors

I. T. Kiguradze

Andrea Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University

Author for correspondence.
Email: ivane.kiguradze@tsu.ge
Georgia, Tbilisi, 0177

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